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Finding the Fourth Proportional to 989.58, 1,365.62 and 596.52

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Solution

The fourth proportional to 989.58, 1,365.62 and 596.52 is: 823.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.58 : 1,365.62 = 596.52 : x
  2. Step 2: Convert to fraction form
    989.58/1,365.62 = 596.52/x
  3. Step 3: Cross multiply
    989.58x = 1,365.62 × 596.52
  4. Step 4: Simplify right side
    989.58x = 814,619.64
  5. Step 5: Solve for x
    x = 814,619.64/989.58
  6. Step 6: Final answer
    x = 823.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.